Derivative of kx | Using the Power Rule for Differentiation

d/dx [kx]= *K is a constant

To find the derivative of kx with respect to x, we can use the power rule of differentiation

To find the derivative of kx with respect to x, we can use the power rule of differentiation. The power rule states that if we have a function of the form f(x) = ax^n, where a and n are constants, the derivative of f(x) with respect to x is given by:

d/dx [ax^n] = nax^(n-1)

Here, we have f(x) = kx, where k is a constant. We can rewrite this as f(x) = kx^1. Applying the power rule, we have:

d/dx [kx] = 1kx^(1-1) = kx^0 = k

Therefore, the derivative of kx with respect to x is simply k.

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